Classification of degree two curves in the symmetric square with positive self-intersection

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Resumen

We give a precise classification of the pairs (C, B) with C a smooth curve of genus g and B C(2) a curve of degree two and posit?"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""e self-intersection. We prove that there are no such pairs if g < pa(B) < 2g-1. We study the singularities and self-intersection of any degree two curve in C(2). Moreover, we give examples of curves with arithmetic genus in the Brill-Noether range and positive self-intersection on C × C.

Idioma originalInglés
Páginas (desde-hasta)161-180
Número de páginas20
PublicaciónAdvances in Geometry
Volumen18
N.º2
DOI
EstadoPublicada - 25 abr 2018

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